Imperial College London
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DrMichaelBluck

Faculty of Engineering, Department of Mechanical Engineering

Reader in Nuclear Engineering
 
 
 
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Contact

 

+44 (0)20 7594 7055m.bluck

 
 
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Location

 

658City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Bluck:2015:10.1017/jfm.2015.202,
author = {Bluck, MJ and Wolfendale, MJ},
doi = {10.1017/jfm.2015.202},
journal = {Journal of Fluid Mechanics},
pages = {595--623},
title = {An analytical solution to electromagnetically coupled duct flow in MHD},
url = {http://dx.doi.org/10.1017/jfm.2015.202},
volume = {771},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The flow of an electrically conducting fluid in an array of square ducts, separated by arbitrary thickness conducting walls, subject to an applied magnetic field is studied. The analytical solution presented here is valid for thick walls and is based on the homogeneous solution obtained by Shercliff (Math. Proc. Camb. Phil. Soc., vol. 49 (01), 1953, pp. 136-144). Arrangements of ducts arise in a number of applications, most notably in fusion blankets, where liquid metal is used both as coolant and for tritium generation purposes. Analytical solutions, such as those presented here, provide insight into the physics and important benchmarking and validation data for computational magnetohydrodynamics (MHD), as well as providing approximate flow parameters for 1D systems codes. It is well known that arrays of such ducts with conducting walls exhibit varying degrees of coupling, significantly affecting the flow. An important practical example is the so-called Madarame problem (Madarame et al., Fusion Technol., vol. 8, 1985, pp. 264-269). In this work analytical results are derived for the relevant hydrodynamic and magnetic parameters for a single duct with thick walls analogous to the Hunt II case. These results are then extended to an array of such ducts stacked in the direction of the applied magnetic field. It is seen that there is a significant coupling affect, resulting in modifications to pressure drop and velocity profile. In certain circumstances, counter-current flow can occur as a result of the MHD effects, even to the point where the mean flow is reversed. Such phenomena are likely to have significant detrimental effects on both heat and mass transfer in fusion applications. The dependence of this coupling on parameters such as conductivities, wall thickness and Hartmann number is studied.
AU  - Bluck,MJ
AU  - Wolfendale,MJ
DO  - 10.1017/jfm.2015.202
EP  - 623
PY  - 2015///
SN  - 0022-1120
SP  - 595
TI  - An analytical solution to electromagnetically coupled duct flow in MHD
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2015.202
UR  - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/an-analytical-solution-to-electromagnetically-coupled-duct-flow-in-mhd/902FADFCFAB35273CA5E4D25BCDE4920
UR  - http://hdl.handle.net/10044/1/21944
VL  - 771
ER  -
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